Pizzetti Series and Polyharmonicity Associated with the Dunkl Laplacian |
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| Authors: | Nejib Ben Salem Kamel Touahri |
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| Institution: | 1. Department of Mathematics, Faculty of Sciences of Tunis, Campus Universitaire, 2092, Tunis, Tunisia
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| Abstract: | In this paper we are concerned with the Pizzetti series associated with the Dunkl Laplacian denoted Δ
k
. We study the convergence of this series and we give some applications. Next we establish some properties of polyharmonic
functions associated with Δ
k
, especially, we establish Liouville type results. |
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| Keywords: | |
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